Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872f |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.7356312178565E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28762624,-59356387376] |
[a1,a2,a3,a4,a6] |
j |
21843440425782779332/3100814593569 |
j-invariant |
L |
1.0430763760436 |
L(r)(E,1)/r! |
Ω |
0.065192273502724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12936k2 103488ir2 77616cj2 3696i2 |
Quadratic twists by: -4 8 -3 -7 |